9630400 has 84 divisors (see below), whose sum is σ = 25574752. Its totient is φ = 3548160.

The previous prime is 9630373. The next prime is 9630403. The reversal of 9630400 is 40369.

It is not an unprimeable number, because it can be changed into a prime (9630403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20569 + ... + 21031.

Almost surely, 2^9630400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787376).

9630400 is an abundant number, since it is smaller than the sum of its proper divisors (15944352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9630400 is a wasteful number, since it uses less digits than its factorization.

9630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 9630400 is about 3103.2885782666. The cubic root of 9630400 is about 212.7558164812.

Adding to 9630400 its reverse (40369), we get a palindrome (9670769).

The spelling of 9630400 in words is "nine million, six hundred thirty thousand, four hundred".